The service you used, Living DNA, seems to try on its web site to avoid telling much about what kind of testing it is doing, especially avoiding standard terms. Digging though its help system, it seems that is using SNP testing of autosomes and of sex chromosomes and mitochondria via an Illumina Orion testing chip. The results include paternal and maternal haplogroups, which it calls "fatherline" and "motherline", and autosomal-based ethnicity, which it calls a "family ancestry test".
The map you provided I presume you got from their site and apparently shows frequency of either the R-Z93 paternal haplogroup or its R-Z94 subgroup. Please note that it implies that your paternal haplogroup (or "fatherline") is known to occur in England and Scotland, but not in Wales or Ireland. This is shown by the (light) shading of the first two but not the second two, and by the listing in the key of the first two only. The key shows 0% for England and Scotland, but this can be taken to mean that it occurs in less than 1% (or perhaps 0.5%) of the males in England, but has been detected at some low percentage.
That you have the small piece of DNA called R-Z94 should not be thought particularly strange, just not typical. (Some haplogroups occur at higher frequencies in England, and some at lower frequencies.) How you happen to have this "fatherline" can't be determined. You have perhaps 1600 nth-great grandfathers who carried it to you over the last 4000 or so years since R-Z94 split off from R-Z93. Those men lived in various unknown places and some migrated between different areas, eventually landing in East Anglia.